Apply the property of integer exponents to generate equivalent expression to 3^7.3^-9;with only positive exponents then solve the expression. Your answer will be a simplified fraction with no remaining exponents
Using the property of integer exponents, we can rewrite the expression 3^7.3^-9 as (3^7)/(3^9).
Now, let's simplify this expression by applying the exponent rule which states that a^m/a^n = a^(m-n):
(3^7)/(3^9) = 3^(7-9) = 3^(-2)
Since we want positive exponents only, we can rewrite 3^(-2) as 1/(3^2):
3^(-2) = 1/(3^2) = 1/9
Therefore, the equivalent expression to 3^7.3^-9, with only positive exponents, is 1/9.